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Type: Artigo de periódico
Title: Regularity Theory For A Class Of Quasilinear Equations
Author: de Miranda L.H.
Montenegro M.
Abstract: This paper addresses the analysis of the weak solution of -Δpω+ω=f in a bounded domain Ω subject to the boundary condition ∂ω∂ν=0 on ∂Ω, when the data f belongs to L2(Ω) and p>2. We prove existence and uniqueness of solution for this problem in the Nikolskii space Np′,2p/p′(Ω). Moreover, we obtain energy estimates regarding the Nikolskii norm of ω in terms of the L2(Ω) norm of f. © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.
Editor: Wiley-VCH Verlag
Rights: fechado
Identifier DOI: 10.1002/mana.201200099
Date Issue: 2014
Appears in Collections:Unicamp - Artigos e Outros Documentos

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